Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations

DOI10.1002/mma.4033zbMath1372.35333arXiv1505.06965OpenAlexW3098426699MaRDI QIDQ2977992

Xing Cheng, Masahiro Yamamoto, Zhi-yuan Li

Publication date: 21 April 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06965

zbMATH Keywords

Fourier transformLaplace transformasymptotic behaviorspace-time fractional diffusion-reaction equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (7)

Homoclinic solutions for an anomalous diffusion system ⋮ Analytical solutions to multi-term time-space Caputo-Riesz fractional diffusion equations on an infinite domain ⋮ Cauchy problem for fractional advection-diffusion-asymmetry equations ⋮ An inverse source problem of space-fractional diffusion equation ⋮ Representation of solutions and large-time behavior for fully nonlocal diffusion equations ⋮ Large-time behavior for a fully nonlocal heat equation ⋮ Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders

Cites Work

• Unnamed Item
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• Numerical analysis of a new space-time variable fractional order advection-dispersion equation
• Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
• A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation
• Space-time fractional diffusion on bounded domains
• Representation of solutions and large-time behavior for fully nonlocal diffusion equations
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
• Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
• Numerical simulations of 2D fractional subdiffusion problems
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Time-fractional diffusion equation in the fractional Sobolev spaces
• Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
• Maximum principle for the generalized time-fractional diffusion equation
• The space-time fractional diffusion equation with Caputo derivatives
• NUMERICAL SIMULATIONS FOR SPACE–TIME FRACTIONAL DIFFUSION EQUATIONS
• Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
• Carleman estimates for parabolic equations and applications
• Continuous-time random walks and the fractional diffusion equation
• A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
• Fractional diffusion: probability distributions and random walk models
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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